Score: 200 points
Takahashi bought a piece of apple pie at ABC Confiserie. According to his memory, he paid N yen (the currency of Japan) for it.
The consumption tax rate for foods in this shop is 8 percent. That is, to buy an apple pie priced at X yen before tax, you have to pay X \times 1.08 yen (rounded down to the nearest integer).
Takahashi forgot the price of his apple pie before tax, X, and wants to know it again. Write a program that takes N as input and finds X. We assume X is an integer.
If there are multiple possible values for X, find any one of them. Also, Takahashi's memory of N, the amount he paid, may be incorrect. If no value could be X, report that fact.
Input is given from Standard Input in the following format:
N
If there are values that could be X, the price of the apple pie before tax, print any one of them.
If there are multiple such values, printing any one of them will be accepted.
If no value could be X, print :(
.
432
400
If the apple pie is priced at 400 yen before tax, you have to pay 400 \times 1.08 = 432 yen to buy one.
Otherwise, the amount you have to pay will not be 432 yen.
1079
:(
There is no possible price before tax for which you have to pay 1079 yen with tax.
1001
927
If the apple pie is priced 927 yen before tax, by rounding down 927 \times 1.08 = 1001.16, you have to pay 1001 yen.